Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T12:18:36.198359Z
Paper Citation Record · LEDGER
Tropical Ehrhart Theory and Tropical Volume
As of 16 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:1908.07893.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
40 of 40 outbound references displayed
- verified exact2
- verified fuzzy22
- unresolved16
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation d1eca446-18be-4fa6-8a0c-a673132a7959 · outbound
This paper cites an unresolved cited work.
Tropical Ehrhart Theory and Tropical Volume Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:18:40.151772Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 3b417550-fdc1-4a09-ad34-738e7f967b55 · outbound
This paper cites Math., vol.
Tropical Ehrhart Theory and Tropical Volume Math., vol
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:18:40.013699Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 58121c3d-e296-481e-bb9c-736f92390e27 · outbound
This paper cites an unresolved cited work.
Tropical Ehrhart Theory and Tropical Volume Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:18:39.888205Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9d866de6-408f-4f64-94b8-1f765a68b7b0 · outbound
This paper cites Katz, Minimal external representations of tropical polyhedra, J.
Tropical Ehrhart Theory and Tropical Volume Katz, Minimal external representations of tropical polyhedra, J
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:18:39.744836Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e9465118-5f54-444a-b88f-c6ff485b0883 · outbound
This paper cites 523 (2017), 79– 101.
Tropical Ehrhart Theory and Tropical Volume 523 (2017), 79– 101
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:18:39.547509Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 3dd59da2-810b-4e4e-bb7d-f7f78ef657d1 · outbound
This paper cites De Loera, Matth ias Köppe, and Michèle Vergne, Computation of the highest coefficients of weighted Ehrhart q uasi-polynomials of rational polyhedra , Found.
Tropical Ehrhart Theory and Tropical Volume De Loera, Matth ias Köppe, and Michèle Vergne, Computation of the highest coefficients of weighted Ehrhart q uasi-polynomials of rational polyhedra , Found
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:18:39.402263Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 1e4bd77b-ac41-4d55-a584-2922b269b10e · outbound
This paper cites an unresolved cited work.
Tropical Ehrhart Theory and Tropical Volume Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:18:39.189011Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6d2e6db7-9434-4e97-845f-73fc14f230d6 · outbound
This paper cites 195, American Mathematical Society, Providence, Rhode Island, 2018.
Tropical Ehrhart Theory and Tropical Volume 195, American Mathematical Society, Providence, Rhode Island, 2018
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:18:39.079498Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ad7b0caf-59bd-4d07-9a3d-81f7ed4e2f4d · outbound
This paper cites Wills, Notes on the roots of Ehrhart poly- nomials, Discrete Comput.
Tropical Ehrhart Theory and Tropical Volume Wills, Notes on the roots of Ehrhart poly- nomials, Discrete Comput
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:18:38.962313Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7348a4d2-67a2-4553-8e8b-177e8c751266 · outbound
This paper cites Wachs, Shellable nonpure complexes and posets.
Tropical Ehrhart Theory and Tropical Volume Wachs, Shellable nonpure complexes and posets
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:18:38.824359Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 296aef58-3f8a-41b4-8fde-9514b5b95284 · outbound
This paper cites Burago and Viktor A.
Tropical Ehrhart Theory and Tropical Volume Burago and Viktor A
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:18:38.728677Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2f178955-5f49-4c9e-8050-a77867c4519b · outbound
This paper cites an unresolved cited work.
Tropical Ehrhart Theory and Tropical Volume Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:18:38.672532Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 60a61cbe-6d40-4098-b5dd-64f224cedd33 · outbound
This paper cites 438 (2013), no.
Tropical Ehrhart Theory and Tropical Volume 438 (2013), no
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:18:38.543585Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation da2d8413-527a-4b33-a0d9-0cf90aa09df5 · outbound
This paper cites , Linear Algebra Appl.
Tropical Ehrhart Theory and Tropical Volume , Linear Algebra Appl
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:18:38.364225Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7926548c-b77b-49ed-ba01-133258d216ff · outbound
This paper cites Tropical bisectors and Voronoi diagrams.
Tropical Ehrhart Theory and Tropical Volume Tropical bisectors and Voronoi diagrams
Reference 15
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T12:18:36.383107Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 309e9e2a-b78e-4d8d-8465-36c2e277849b · outbound
This paper cites an unresolved cited work.
Tropical Ehrhart Theory and Tropical Volume Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:18:38.128028Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation aaf59f73-8673-4c58-9865-4358b9534e64 · outbound
This paper cites an unresolved cited work.
Tropical Ehrhart Theory and Tropical Volume Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:18:38.009333Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 1afd01b4-8ce7-4324-9c2b-49851a45dabd · outbound
This paper cites an unresolved cited work.
Tropical Ehrhart Theory and Tropical Volume Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:18:37.817552Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 94c3db0a-74b0-4f47-b86c-13186f000237 · outbound
This paper cites an unresolved cited work.
Tropical Ehrhart Theory and Tropical Volume Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:18:37.550969Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9718be2b-3769-493c-87fd-d48d707a9d5f · outbound
This paper cites Dyer and Alan M.
Tropical Ehrhart Theory and Tropical Volume Dyer and Alan M
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:18:37.317724Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 313921f2-60ec-4c21-8c53-77336f891e9f · outbound
This paper cites an unresolved cited work.
Tropical Ehrhart Theory and Tropical Volume Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:18:37.168859Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6b0451ed-d0c1-45dc-9e1d-29d2fbec71ea · outbound
This paper cites an unresolved cited work.
Tropical Ehrhart Theory and Tropical Volume Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:18:37.054215Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 07b78be4-b4cb-4558-a0d1-d8c5421d34be · outbound
This paper cites Katz, The Minkowski theorem for max-plus convex sets, Linear Algebra Appl.
Tropical Ehrhart Theory and Tropical Volume Katz, The Minkowski theorem for max-plus convex sets, Linear Algebra Appl
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:18:37.039981Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 310ae73d-3af1-4ed0-9f3b-f86e81ae4d38 · outbound
This paper cites an unresolved cited work.
Tropical Ehrhart Theory and Tropical Volume Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:18:37.005393Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation aeabb75d-ecec-4975-babc-557cc672f786 · outbound
This paper cites Ziegler, eds.), Birkhäuser, 2000, pp.
Tropical Ehrhart Theory and Tropical Volume Ziegler, eds.), Birkhäuser, 2000, pp
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:18:36.905672Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4d87672d-0a98-4004-bb5a-c92f0da7dc5d · outbound
This paper cites 35, Birkhäuser Verl ag, Basel, 2009.
Tropical Ehrhart Theory and Tropical Volume 35, Birkhäuser Verl ag, Basel, 2009
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:18:36.891195Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 603f0801-d50d-4485-8495-ee909b807fdb · outbound
This paper cites Math., vol.
Tropical Ehrhart Theory and Tropical Volume Math., vol
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:18:36.875439Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 01ff07f4-37c3-4607-80a7-6fb02939d7c1 · outbound
This paper cites an unresolved cited work.
Tropical Ehrhart Theory and Tropical Volume Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:18:36.860000Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 83ec66c6-8318-451d-bdbb-72c3410f9bcc · outbound
This paper cites 501 (2016), 304–343.
Tropical Ehrhart Theory and Tropical Volume 501 (2016), 304–343
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:18:36.780802Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation dce521ac-0b52-4022-9cca-97c416dced90 · outbound
This paper cites an unresolved cited work.
Tropical Ehrhart Theory and Tropical Volume Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:18:36.731206Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation bb5154b6-2a08-4c4b-ae16-770bc52a2cc0 · outbound
This paper cites Factorization of polynomials in one variable over the tropical semiring.
Tropical Ehrhart Theory and Tropical Volume Factorization of polynomials in one variable over the tropical semiring
Reference 31
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T12:18:36.009618Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8d44ce90-0ee5-4899-ae29-5d16e7b0de5b · outbound
This paper cites Kosowsky and Alan L.
Tropical Ehrhart Theory and Tropical Volume Kosowsky and Alan L
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:18:36.716246Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8e1a8688-9c48-4d12-a52a-51af8d160249 · outbound
This paper cites I, Discrete Comput.
Tropical Ehrhart Theory and Tropical Volume I, Discrete Comput
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:18:36.700365Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 07f56eb4-d787-4079-a4e3-6f77e6d93fc0 · outbound
This paper cites Macdonald, Polynomials associated with finite cell-complexes , J.
Tropical Ehrhart Theory and Tropical Volume Macdonald, Polynomials associated with finite cell-complexes , J
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:18:36.684510Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e35c556b-3f5e-4516-a011-11b6e503454f · outbound
This paper cites 327, Springer-Verlag, Berlin, 2003.
Tropical Ehrhart Theory and Tropical Volume 327, Springer-Verlag, Berlin, 2003
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:18:36.593084Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2814302d-e2a9-41b1-b36e-797fa6a5d019 · outbound
This paper cites Poplin and Robert E.
Tropical Ehrhart Theory and Tropical Volume Poplin and Robert E
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:18:36.543031Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6084d168-0723-4f63-8002-922dbb0aed97 · outbound
This paper cites 44, Cambridge University Press, Cambridge, 1993.
Tropical Ehrhart Theory and Tropical Volume 44, Cambridge University Press, Cambridge, 1993
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:18:36.527612Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6a723ec2-3745-49fb-a505-aad446b8b590 · outbound
This paper cites an unresolved cited work.
Tropical Ehrhart Theory and Tropical Volume Unresolved cited work
Reference 38
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:18:36.509250Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8c84bd8f-f45a-42dc-a5c7-4dc8aada6576 · outbound
This paper cites an unresolved cited work.
Tropical Ehrhart Theory and Tropical Volume Unresolved cited work
Reference 39
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:18:36.447398Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation bcabc8be-530c-4b68-9154-40ab55be8590 · outbound
This paper cites Computing Convex Hulls in the Affine Building of SL_d.
Tropical Ehrhart Theory and Tropical Volume Computing Convex Hulls in the Affine Building of SL_d
Reference 40
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T12:18:36.300913Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
No inbound Pith citation observations are available.